Applying the principles of Optimal Control Theory to the problem of regional allocation of investment can be a useful tool for demonstrating how the trade-off between regional equity and overall efficiency can be overcome. This book poses the following questions: are spatial inequalities harmful...

Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing - not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few...

Lineare und nichtlineare dynamische Systeme werden in der aktuellen wirtschaftswissenschaftlichen Forschung immer wichtiger und ermöglichen ein tieferes Verständnis sowohl für geordnete wie auch chaotische Abläufe der Konjunktur und der Finanzmärkte. Mathematische Methoden, die in den...

In this article we analyze how the presence of thresholds influences multi agent decision making situations. We introduce a class of discounted autonomous optimal control problems with threshold effects and discuss tools to analyze these problems. Later, using these results we investigate two...

In this paper, the problem of machine replacement in a changing technological environment is formulated as a problem in modern control theory. The objective is to maximize the present value of all future net profits over a class of infinite chains of machines where each link in the chain...

This paper determines the optimal timing of dike heightenings as well as the corresponding optimal dike heightenings to protect against floods. To derive the optimal policy we design an algorithm based on the Impulse Control Maximum Principle. In this way the paper presents one of the first real...